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consecutive numbers

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Junior | Next Rank: 30 Posts
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by AJ2009 » Mon Feb 16, 2009 10:40 am
Are the integers q , r , and s consecutive?

(1) The average (arithmetic mean) of q , r , and s is r .

(2) r – q = s – r
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Source: — Data Sufficiency |
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by anniev2 » Mon Feb 16, 2009 11:09 am
Is the correct answer, C?
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by Bidisha_800 » Mon Feb 16, 2009 11:32 am
(E)

from (1), we get 2r=p+q
numbers in arithmetic progression will satisfy this ...3, 5, 7 or 3, 14, 25

from (2) again the same thing 2r=p+q

numebers in AP will satisfy.
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by scoobydooby » Mon Feb 16, 2009 12:12 pm
E

stmnt 1: r=(q+r+s)/3
or q+s=2r
or r=(q+s)/2
=> r is at the midpoint of q and s
=> q,r,s are evenly spaced, need not be consecutive. not sufficient


stmnt 2: r-q=s-r
or r is at the midpoint of q and s (same info as stment 1)

together, no additonal info, not sufficient
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by manoj0609 » Mon Feb 16, 2009 12:22 pm
anniev2 wrote:Is the correct answer, C?

IMO : E

Simple example 1,5,9
here avg =5 and median is also 5 --st 1
diff is 4 betwn each --st 2
but still not consecutive
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by cramya » Mon Feb 16, 2009 4:06 pm
It would be E as both statements provide the same info and each statement by itself is INSUFF

Stmt I

r+s+q/3 = r => 2r = q+s => r = q+s/2

1 3 5 NO

1 2 3 YES

insuff

Stmt II

2r = q+s => r = q+s/2

1 3 5 NO

1 2 3 YES

insuff


Together:

1 3 5 NO

1 2 3 YES

insuff

Choose E
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